Final answer:
To find the difference between the fourth term (T4) and the first term (T1) of the sequence Tn = 5 + (n-1)², we calculate T4 as 14 and T1 as 5. The difference T4 - T1 equals 9.
Step-by-step explanation:
The question asks us to evaluate the difference between the fourth term and the first term of the sequence with the nth term given by Tn = 5 + (n-1)².
First, we find the fourth term (T4) by substituting n = 4 into the given formula:
T4 = 5 + (4-1)² = 5 + 3² = 5 + 9 = 14
Next, we find the first term (T1) by substituting n = 1 into the formula:
T1 = 5 + (1-1)² = 5 + 0 = 5
T4 - T1 = 14 - 5 = 9
The difference between the fourth term and the first term of the sequence is 9.